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Finding the Fourth Proportional to 9,314.40, 13,977.88 and 3,471.01

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Solution

The fourth proportional to 9,314.40, 13,977.88 and 3,471.01 is: 5,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.40 : 13,977.88 = 3,471.01 : x
  2. Step 2: Convert to fraction form
    9,314.40/13,977.88 = 3,471.01/x
  3. Step 3: Cross multiply
    9,314.40x = 13,977.88 × 3,471.01
  4. Step 4: Simplify right side
    9,314.40x = 48,517,317.64
  5. Step 5: Solve for x
    x = 48,517,317.64/9,314.40
  6. Step 6: Final answer
    x = 5,208.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.